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Finding the Third Proportional to 105,572 and 141,018

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Solution

The third proportional to 105,572 and 141,018 is: 188,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,572 : 141,018 = 141,018 : x
  2. Step 2: Convert to fraction form
    105,572/141,018 = 141,018/x
  3. Step 3: Cross multiply
    105,572x = 141,018 × 141,018
  4. Step 4: Simplify right side
    105,572x = 19,886,076,324
  5. Step 5: Solve for x
    x = 19,886,076,324/105,572
  6. Step 6: Final answer
    x = 188,365.06

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.